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Finding the Fourth Proportional to 627.06, 863.89 and 597.90

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Solution

The fourth proportional to 627.06, 863.89 and 597.90 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.06 : 863.89 = 597.90 : x
  2. Step 2: Convert to fraction form
    627.06/863.89 = 597.90/x
  3. Step 3: Cross multiply
    627.06x = 863.89 × 597.90
  4. Step 4: Simplify right side
    627.06x = 516,519.83
  5. Step 5: Solve for x
    x = 516,519.83/627.06
  6. Step 6: Final answer
    x = 823.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.